{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "dd3469bb-c9e7-4d6f-be34-3b7d86730d6d",
   "metadata": {},
   "source": [
    "Chapter 01\n",
    "\n",
    "# 极坐标坐标系画同心圆\n",
    "《线性代数》 | 鸢尾花书：数学不难"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "113582ba-4ed0-4495-b87b-9d8156f16e3c",
   "metadata": {},
   "source": [
    "这段代码从数学角度展示了**如何用极坐标系表示多个同心圆**，并通过编程可视化这些圆的结构。我们从数学建模、函数使用、几何意义等方面来逐步理解。\n",
    "\n",
    "首先，圆在平面上的定义是：以某一点为圆心、以某个正数为半径的点的集合。如果我们使用极坐标系统而不是常规的笛卡尔坐标系，可以更自然地表示圆。极坐标系的基本表示是用一个角度 $\\theta$ 和一个半径 $r$ 来描述一个点的位置，即点的极坐标为 $(r, \\theta)$。在极坐标系中，**以原点为中心、固定半径的点集构成一个圆**，其数学表达非常简单，即：\n",
    "\n",
    "$$\n",
    "\\{ (r, \\theta) \\mid \\theta \\in [0, 2\\pi) \\}\n",
    "$$\n",
    "\n",
    "在这段代码中，首先使用 NumPy 的 `np.linspace(1, 5, 5)` 生成了一个数组 $[1, 2, 3, 4, 5]$，它代表了五个同心圆的半径，记作 $\\text{radii} = \\{r_1, r_2, r_3, r_4, r_5\\}$，每一个 $r_i$ 都对应着一个以原点为中心、半径为 $r_i$ 的圆。\n",
    "\n",
    "接下来，使用 `np.linspace(0, 2 * np.pi, 300)` 生成了一组角度变量 $\\theta$，均匀地覆盖从 $0$ 到 $2\\pi$ 的整个角度区间。这意味着我们将在每个圆上等间距地取 300 个点，形成光滑的曲线。也就是说，对于每一个固定的半径 $r$，我们都将绘制出如下点集：\n",
    "\n",
    "$$\n",
    "\\left\\{ (r, \\theta_i) \\mid \\theta_i \\in \\text{linspace}(0, 2\\pi, 300) \\right\\}\n",
    "$$\n",
    "\n",
    "在极坐标图上，这样的点集合就正好构成了一个完整的圆。\n",
    "\n",
    "图像部分使用了 `matplotlib` 中的极坐标子图 `plt.subplots(subplot_kw={'projection': 'polar'})`，这是专门用于极坐标绘图的配置。之后的 `for` 循环遍历每一个半径 $r$，并利用 `ax.plot(theta, np.full_like(theta, r))` 来画出圆。这里的 `np.full_like(theta, r)` 创建了一个和 $\\theta$ 同样长度的数组，但所有元素的值都等于当前的半径 $r$，意味着所有点都在同一个距离处，仅角度在变。\n",
    "\n",
    "因此，对于每个半径 $r_i$，画出来的是：\n",
    "\n",
    "$$\n",
    "(r_i, \\theta_1),\\ (r_i, \\theta_2),\\ \\dots,\\ (r_i, \\theta_{300})\n",
    "$$\n",
    "\n",
    "这些点在极坐标中形成一个**以原点为中心、半径为 $r_i$ 的圆**。所有圆共享同一个中心（原点），因此是**同心圆**。\n",
    "\n",
    "最终结果是：在极坐标平面中，绘制了五个半径从 1 到 5 的同心圆，每个圆由 300 个等间隔角度点构成，图像中清晰展示出一种径向对称的几何结构。整个过程结合了极坐标的数学定义、数组函数的使用与可视化技术，是对“极坐标中圆的生成”的一种完整编码实现。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "191acb8a-d7a3-41b8-96f0-ffce2987e339",
   "metadata": {},
   "source": [
    "## 初始化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a8f48b60-fa1f-49e4-a316-47dabe95a1e5",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7e17eb46-64d2-45d8-9ebe-8af6b1310f1f",
   "metadata": {},
   "source": [
    "## 创建数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "32ece8dd-6399-4d43-b081-8b9e870edefb",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义圆的半径\n",
    "radii = np.linspace(1, 5, 5)  # 生成 5 个同心圆的半径\n",
    "\n",
    "# 角度范围\n",
    "theta = np.linspace(0, 2 * np.pi, 300)  # 0 到 2π 之间均匀取点"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ae0bb39b-12a7-49fe-b4a8-9a78820c5fe5",
   "metadata": {},
   "source": [
    "## 可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "024cbdb3-6b9c-4734-9b5e-c2cc6a8f1492",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(subplot_kw={'projection': 'polar'})\n",
    "\n",
    "# 绘制同心圆\n",
    "for r in radii:\n",
    "    ax.plot(theta, np.full_like(theta, r), 'b', linewidth=1)  # 画出同心圆"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a699f940-7642-4725-8734-ccdc96e0a2cb",
   "metadata": {},
   "source": [
    "作者\t**生姜DrGinger**  \n",
    "脚本\t**生姜DrGinger**  \n",
    "视频\t**崔崔CuiCui**  \n",
    "开源资源\t[**GitHub**](https://github.com/Visualize-ML)  \n",
    "平台\t[**油管**](https://www.youtube.com/@DrGinger_Jiang)\t\t\n",
    "\t\t[**iris小课堂**](https://space.bilibili.com/3546865719052873)\t\t\n",
    "\t\t[**生姜DrGinger**](https://space.bilibili.com/513194466)  "
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:base] *",
   "language": "python",
   "name": "conda-base-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
